The Torelli Theorem for ALH* Gravitational Instantons
Abstract
We give a short proof of the Torelli theorem for ALH* gravitational instantons, using the authors' previous construction of mirror special Lagrangian fibrations in del Pezzo surfaces and rational elliptic surfaces together with recent work of Sun-Zhang. In particular, this includes an identification of 10 diffeomorphism types of ALH*b gravitational instantons.
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